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Finding the Third Proportional to 72,059.63 and 106,226.44

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Solution

The third proportional to 72,059.63 and 106,226.44 is: 156,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,059.63 : 106,226.44 = 106,226.44 : x
  2. Step 2: Convert to fraction form
    72,059.63/106,226.44 = 106,226.44/x
  3. Step 3: Cross multiply
    72,059.63x = 106,226.44 × 106,226.44
  4. Step 4: Simplify right side
    72,059.63x = 11,284,056,023.94
  5. Step 5: Solve for x
    x = 11,284,056,023.94/72,059.63
  6. Step 6: Final answer
    x = 156,593.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.